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A man is running beside an 80 m long train at a speed of 9 km/hr in the same direction. If the train is running at a speed of 54 km/hr, in how much time will the train cross the running man?
  • a)
    2.8 sec.
  • b)
    4.6 sec.
  • c)
    6.4 sec.
  • d)
    8.2 sec.
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
A man is running beside an 80 m long train at a speed of 9 km/hr in th...
Speed of train relative to running man = speed of train – speed of running man
⇒ Speed of train relative to running = 54 – 9 = 45 km/hr = 45 × (5/18) = 12.5 m/sec
Distance to be covered = 80 m
∴ Time taken by train to cross the running man = 80/12.5 = 6.4 sec.
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Most Upvoted Answer
A man is running beside an 80 m long train at a speed of 9 km/hr in th...
To solve this problem, we need to find the time it takes for the train to cross the running man.

Let's break down the information given in the problem:

- Length of the train = 80 m
- Speed of the train = 54 km/hr
- Speed of the man = 9 km/hr

We need to convert the speeds to the same unit before proceeding with the calculation. Let's convert them from km/hr to m/s:

- Speed of the train = 54 km/hr = (54 * 1000) m/ (60 * 60) s = 15 m/s
- Speed of the man = 9 km/hr = (9 * 1000) m/ (60 * 60) s = 2.5 m/s

Now, let's find the relative speed between the train and the man:

- Relative speed = Speed of the train - Speed of the man = 15 m/s - 2.5 m/s = 12.5 m/s

Now, we can use the formula to find the time taken by the train to cross the man:

- Time = Distance / Relative speed

Substituting the values:

- Time = 80 m / 12.5 m/s = 6.4 s

Therefore, the train will cross the running man in 6.4 seconds.

Hence, option C is the correct answer.
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A man is running beside an 80 m long train at a speed of 9 km/hr in the same direction. If the train is running at a speed of 54 km/hr, in how much time will the train cross the running man?a)2.8 sec.b)4.6 sec.c)6.4 sec.d)8.2 sec.Correct answer is option 'C'. Can you explain this answer?
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A man is running beside an 80 m long train at a speed of 9 km/hr in the same direction. If the train is running at a speed of 54 km/hr, in how much time will the train cross the running man?a)2.8 sec.b)4.6 sec.c)6.4 sec.d)8.2 sec.Correct answer is option 'C'. Can you explain this answer? for Railways 2024 is part of Railways preparation. The Question and answers have been prepared according to the Railways exam syllabus. Information about A man is running beside an 80 m long train at a speed of 9 km/hr in the same direction. If the train is running at a speed of 54 km/hr, in how much time will the train cross the running man?a)2.8 sec.b)4.6 sec.c)6.4 sec.d)8.2 sec.Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Railways 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A man is running beside an 80 m long train at a speed of 9 km/hr in the same direction. If the train is running at a speed of 54 km/hr, in how much time will the train cross the running man?a)2.8 sec.b)4.6 sec.c)6.4 sec.d)8.2 sec.Correct answer is option 'C'. Can you explain this answer?.
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